Answer:
6(4a−3b)
Step-by-step explanation:
You have to factor out this expression, so i would recommend the UMBRELLA method.
Answer:
C) B = 38.8°, C = 93.2°, c ≈ 43
Step-by-step explanation:
For triangle: a / sin A = b / sin B = c / sinC
32 / sin 48° = 32 / 0.743
32 / 0.743 = 27 / Sin B sin B = 0.627
<u>B = 38.8°</u>
C = 180 - 48 - 38.8 = 93.2° sin C = sin 93.2° = 0.998
32 / 0.743 = c / 0.998 = 42.98 (<u>≈ 43</u>)
Answer:
Difference in volume between the two vinyl records = 3.872 in³
Step-by-step explanation:
Complete Question
2 Columbia records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. If the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.
Each of the vinyl records will be modeled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records:
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records:
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³.
Therefore, the difference in volume between the two vinyl records = 3.872 in³.
Have a nice day!
Answer:
40 ¢
0Step-by-step explanation: 25 + 10 + 5 = 40
He can spend 4 dollars on each sandwich cause 27-3(the kids meal) =24 24 divided by 6=4. 4 being the amount per sandwich!
